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Finding the Fourth Proportional to 303.73, 419.17 and 179.32

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Solution

The fourth proportional to 303.73, 419.17 and 179.32 is: 247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.73 : 419.17 = 179.32 : x
  2. Step 2: Convert to fraction form
    303.73/419.17 = 179.32/x
  3. Step 3: Cross multiply
    303.73x = 419.17 × 179.32
  4. Step 4: Simplify right side
    303.73x = 75,165.56
  5. Step 5: Solve for x
    x = 75,165.56/303.73
  6. Step 6: Final answer
    x = 247.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.